Learn to graph the reciprocal function using a table

The video introduces the reciprocal function, explaining its graphing process using a table of values. It discusses the concept of asymptotes, highlighting their role in graphing. The video also covers the domain and range of the reciprocal function, emphasizing the restrictions due to asymptotes.

What is the reciprocal function of the identity function f(x) = x?

• f(x) = x^2

• f(x) = 1/x

• f(x) = x + 1

• f(x) = x - 1

When graphing a function, what is a common method to use if you forget the shape of the graph?

• Create a table of values

• Guess the shape

• Draw random lines

• Use a calculator

Why is it important to choose a range of values when graphing the reciprocal function?

• To make calculations easier

• To understand the behavior of the function

• To avoid using a calculator

• To make the graph look colorful

What happens to the value of 1/x as x becomes very large?

• It approaches zero

• It becomes negative

• It becomes exactly zero

• It becomes infinite

What is an asymptote in the context of graphing functions?

• A point where the graph crosses the axis

• A line that the graph approaches but never touches

• A curve that the graph follows

• A point where the graph stops

Which of the following is true about the graph of the reciprocal function?

• It crosses the y-axis

• It is a straight line

• It approaches but never touches the axes

• It crosses the x-axis

What is the shape of the graph of the reciprocal function?

• Ellipse

• Hyperbola

• Circle

• Parabola

What is the domain of the reciprocal function f(x) = 1/x?

• All real numbers

• All real numbers except x = 0

• Only positive numbers

• Only negative numbers

What is the range of the reciprocal function f(x) = 1/x?

• Only positive numbers

• Only negative numbers

• All real numbers except y = 0

• All real numbers

Why can't the reciprocal function f(x) = 1/x have an output of zero?

• Because it is undefined at x = 0

• Because it is a linear function

• Because it is a quadratic function

• Because it is a constant function